Future Value vs Present Value: What They Mean (With Examples)
Future value (FV) and present value (PV) are two sides of the same idea: money changes value over time.
- Future value answers: “If I invest today, what will it be worth later?”
- Present value answers: “If I receive money later, what is it worth today?”
You can model both with:
Future value: projecting growth
The basic FV concept is compounding: your balance grows at a rate over time.
Practical examples:
- Saving for a down payment in 3–5 years
- Growing retirement contributions over decades
- Projecting investment account balance
If you’re adding contributions, use the Compound Interest Calculator for a more realistic model.
Present value: discounting back to today
PV is used when you want to compare future money with today’s money. You pick a discount rate (your required return or opportunity cost), then discount the future amount back.
Practical examples:
- Comparing a lump sum today vs payments over time
- Valuing a future bonus or payout
- Evaluating an investment with future cash flows
For multiple cash flows over multiple years, PV is the foundation of NPV: Net Present Value Calculator.
Example: $50,000 in 10 years at a 6% discount rate
PV ≈ 50,000 / (1.06)^10 ≈ $27,919
Try the exact scenario in the Present Value Calculator.
When to use NPV instead
If you have:
- an initial investment today, and
- recurring cash flows over time,
you likely want NPV, not just PV. Use the Net Present Value Calculator to evaluate the project.
FAQ
Is future value guaranteed?
No. FV calculations assume a steady return rate. Real investments vary year to year.
What discount rate should I use for present value?
Common choices include a required return, a conservative market return assumption, or a loan interest rate (depending on context).
Can PV be negative?
PV of a future inflow is generally positive, but net present value can be negative after subtracting an initial investment.
Should I use nominal or real rates?
Be consistent. If your cash flows include inflation, use a nominal discount rate. If your cash flows are inflation-adjusted, use a real discount rate.
How do FV and PV relate?
They’re inverses: PV discounts and FV compounds. They connect by rearranging the same formula with the same rate and time horizon.